Consistent formulation for the Discrete-Continuous Model: Improving complex dislocation dynamics simulations

O Jamond, R Gatti, A Roos, B Devincre - International Journal of Plasticity, 2016 - Elsevier
A new and efficient formulation of the Discrete-Continuous Model (DCM) for the simulation of
3D dislocation dynamics in complex finite or periodic volumes is presented. As in previous …

3D simulation of curved dislocations: Discretization and long range interactions

HM Zbib, M Rhee, JP Hirth - … Plasticity and its Applications, eds. T …, 1996 - books.google.com
ABSTRACT A three dimensional (3D) mesoscopic model to simulate the collective dynamic
behavior of a large number of curved dislocations of finite lengths has been developed. The …

Modelling crystal plasticity by 3D dislocation dynamics and the finite element method: the discrete-continuous model revisited

A Vattré, B Devincre, F Feyel, R Gatti, S Groh… - Journal of the …, 2014 - Elsevier
A unified model coupling 3D dislocation dynamics (DD) simulations with the finite element
(FE) method is revisited. The so-called Discrete-Continuous Model (DCM) aims to predict …

A two-dimensional dislocation dynamics model of the plastic deformation of polycrystalline metals

N Ahmed, A Hartmaier - Journal of the Mechanics and Physics of Solids, 2010 - Elsevier
Two-dimensional dislocation dynamics (2D-DD) simulations under fully periodic boundary
conditions are employed to study the relation between microstructure and strength of a …

Microstructural comparison of the kinematics of discrete and continuum dislocations models

S Sandfeld, G Po - … and Simulation in Materials Science and …, 2015 - iopscience.iop.org
Abstract The Continuum Dislocation Dynamics (CDD) theory and the Discrete Dislocation
Dynamics (DDD) method are compared based on concise mathematical formulations of the …

Fundamentals of dislocation dynamics simulations

RB Sills, WP Kuykendall, A Aghaei, W Cai - Multiscale materials modeling …, 2016 - Springer
Dislocation dynamics (DD) is a modeling approach for the study of crystal plasticity wherein
individual dislocation lines are discretized and their motion in the crystal is simulated. This …

From systems of discrete dislocations to a continuous field description: stresses and averaging aspects

S Sandfeld, M Monavari, M Zaiser - Modelling and Simulation in …, 2013 - iopscience.iop.org
Metal plasticity is governed by the motion of dislocations, and predicting the interactions and
resulting collective motion of dislocations is a major task in understanding and modeling …

An efficient and minimalist scheme for continuum dislocation dynamics

A Kalaei, Y Xiang, AHW Ngan - International Journal of Plasticity, 2022 - Elsevier
Continuum dislocation dynamics methods have received considerable interests for
simulating dislocation microstructures at the meso-scale, serving as potential tools for …

Internal stresses in a homogenized representation of dislocation microstructures

S Schmitt, P Gumbsch, K Schulz - Journal of the Mechanics and Physics of …, 2015 - Elsevier
To develop a continuum theory based on the evolution of dislocation microstructures, two
challenges have to be resolved: the correct representation of the kinematics of dislocation …

Quantitative investigations on dislocation based discrete-continuous model of crystal plasticity at submicron scale

Y Cui, Z Liu, Z Zhuang - International Journal of Plasticity, 2015 - Elsevier
Although the multi-scale discrete-continuous model (DCM) which couples discrete
dislocation dynamics (DDD) and finite element method (FEM) to study crystal plasticity at …